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Finding the Fourth Proportional to 2,212.09, 3,316.07 and 750.22

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Solution

The fourth proportional to 2,212.09, 3,316.07 and 750.22 is: 1,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.09 : 3,316.07 = 750.22 : x
  2. Step 2: Convert to fraction form
    2,212.09/3,316.07 = 750.22/x
  3. Step 3: Cross multiply
    2,212.09x = 3,316.07 × 750.22
  4. Step 4: Simplify right side
    2,212.09x = 2,487,761.70
  5. Step 5: Solve for x
    x = 2,487,761.70/2,212.09
  6. Step 6: Final answer
    x = 1,124.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.